# How do you solve 3x + y = -11 and 2x - (2/3)y = -2/3?

Jun 5, 2018

$x = - 2 , y = - 5$

#### Explanation:

Multiply the second equation by 3

$6 x - 2 y = - 2$

Multiply the first equation by 2

$6 x + 2 y = - 22$

We have two new equations with the same number of $y$s but with different signs. By adding these two equations we can remove the $y$s and solve for $x$.

$12 x = - 24$

$x = - 2$

Put $x = - 2$ into the first equation

$\implies 3 \times - 2 + y = - 11$

$- 6 + y = - 11$

$y = - 5$